SOLUTION: Barako coffee worth ₱300.00 per kilo is mixed with arabica coffee worth ₱200.00 per kilo. How many kilos of each coffee should be used to obtain 20 kilos of a mixture worth ₱

Algebra ->  Finance -> SOLUTION: Barako coffee worth ₱300.00 per kilo is mixed with arabica coffee worth ₱200.00 per kilo. How many kilos of each coffee should be used to obtain 20 kilos of a mixture worth ₱      Log On


   

Question 1192512: Barako coffee worth ₱300.00 per kilo is mixed with arabica coffee worth ₱200.00 per kilo. How many kilos of each coffee should be used to obtain 20 kilos of a mixture worth ₱240.00 per kilo?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


A typical algebraic solution....

x = kilos of Barako coffee
20-x = kilos of arabica coffee

The total value of the ingredients is equal to the total value of the mixture:

300%28x%29%2B200%2820-x%29=240%2820%29
300x%2B4000-200x=4800
100x=800
x=8

ANSWER: 8 kilos of Barako coffee; 12 of arabica coffee

CHECK: 8(300)+12(200)=2400+2400=4800

A quick informal solution, if formal algebra is not required....

The price per pound for the mixture, 240, is 40/100=2/5 of the way from 200 to 300.
Therefore 2/5 of the mixture should be the more expensive barako coffee. 2/5 of 20 kilos is 8 kilos.

ANSWER: 8 kilos of barako; 12 of arabica